Open AccessThe Cyclic Decomposition of the Group (Q2m C4) When m= ,h, r∈ Z+ and p is Prime Number
Author(s) -
Rajaa Hassan Abass
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.36.24223
Subject(s) - cyclic group , mathematics , prime (order theory) , combinatorics , group (periodic table) , order (exchange) , decomposition , quaternion , prime number , physics , chemistry , geometry , abelian group , organic chemistry , finance , quantum mechanics , economics
The main purpose of this paper is to find The Cyclic decomposition of the group (Q2m C4) when m= h, r Z+and p is prime number, which is denoted by AC (Q2m ×C4) where Q2m is the Quaternion group and C4 is the cyclic group of order 4 . We have also found the general form of Artin's characters table of Ar(Q2m×C4) when m= ,h,r Z+and p is prime number.